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On testing correlation between growth curves

 

作者: W. Y. Tan,  

 

期刊: Canadian Journal of Statistics  （WILEY Available online 1976）
卷期: Volume 4, issue 1  

页码: 13-32

 

ISSN:0319-5724

 

年代: 1976

 

DOI:10.2307/3315261

 

出版商: Wiley‐Blackwell

 

关键词: Correlation between growth curves;fitting polynomials;likelihood ratio statistic;null distribution;product of U‐statistics;approximations.

 

数据来源: WILEY

 

摘要:

AbstractFitting the growth curves by polynomials, this paper is intended to test whether or not there is any correlation between two characters. The likelihood ratio statistic is derived and is shown to be distributed under the null hypothesis as the product of three independentU statisticsas defined in Anderson (1958). Box's procedure is then applied to approximate the critical region. A numerical example is given to illustrate the procedure.

 

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